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Finding the Fourth Proportional to 462,201.60, 693,302.40 and 309,986.40

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Solution

The fourth proportional to 462,201.60, 693,302.40 and 309,986.40 is: 464,979.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,201.60 : 693,302.40 = 309,986.40 : x
  2. Step 2: Convert to fraction form
    462,201.60/693,302.40 = 309,986.40/x
  3. Step 3: Cross multiply
    462,201.60x = 693,302.40 × 309,986.40
  4. Step 4: Simplify right side
    462,201.60x = 214,914,315,087.36
  5. Step 5: Solve for x
    x = 214,914,315,087.36/462,201.60
  6. Step 6: Final answer
    x = 464,979.60

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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.